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Finding the Third Proportional to 136,614 and 296,556

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Solution

The third proportional to 136,614 and 296,556 is: 643,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,614 : 296,556 = 296,556 : x
  2. Step 2: Convert to fraction form
    136,614/296,556 = 296,556/x
  3. Step 3: Cross multiply
    136,614x = 296,556 × 296,556
  4. Step 4: Simplify right side
    136,614x = 87,945,461,136
  5. Step 5: Solve for x
    x = 87,945,461,136/136,614
  6. Step 6: Final answer
    x = 643,751.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.